NCERT Solutions for Class 10 Maths Chapter 2: Polynomials - Exercise 2.1

EXERCISE - 2.1

1. The graphs of \[\text{y=p(x)}\] are given in following figure, for some Polynomials \[\text{p(x)}\]. Find the number of zeroes of \[\text{p(x)}\], in each case.

(i).

(Image will be uploaded soon)

Ans: The graph does not intersect the \[\text{x-axis}\] at any point. Therefore, it does not have any zeroes.

(ii).

(Image will be uploaded soon)

Ans: The graph intersects at the \[\text{x-axis}\] at only \[\text{1}\]point. Therefore, the number of zeroes is \[\text{1}\].

(iii). 

(Image will be uploaded soon)

Ans: The graph intersects at the \[\text{x-axis}\] at \[\text{3}\] points. Therefore, the number of zeroes is \[\text{3}\].

(iv). 

(Image will be uploaded soon)

Ans: The graph intersects at the \[\text{x-axis}\] at \[\text{2}\] points. Therefore, the number of zeroes is \[\text{2}\]. 

(v). 

(Image will be uploaded soon)

Ans: The graph intersects at the \[\text{x-axis}\] at \[\text{4}\] points. Therefore, the number of zeroes is \[\text{4}\].

(vi). 

(Image will be uploaded soon)

Ans: The graph intersects at the \[\text{x-axis}\] at \[\text{3}\] points. Therefore, the number of zeroes is \[\text{3}\]. 

Class 10 Maths Chapter 2 Exercise 2.1 Solutions

Maths can be very intimidating for those who face issues in understanding its concept. According to our experts, the subject is very perplexing for numerous students. However, with the right guidance and tutoring, anyone can ace the subject and score well in exams. Talking about Class 10 Maths Ch 2, it is one of the crucial chapters as it covers ‘Polynomial.’ It is an expression that comprises coefficients and variables along with some operations, such as addition, subtraction, multiplication, etc. It can also have a non-negative integral variable. A polynomial can have one variable or more. Having a good command over polynomial is important as it is widely used in the research field as well in real-world numerical analysis. Our experts of NCERT Solutions for Class 10 Maths Chapter 2 Exercise 2.1 are well-learned and have a deep knowledge of Polynomials. In case you have any issue while solving questions of polynomial, then you can take the help of our expert's solutions. With their smart learning techniques, we have transformed the learning method in a way that you won’t feel boredom while studying maths.

Coming on to Exercise 2.1 Class 10, it is very crucial in itself as it helps in understanding the algebraic functions and their zeros with the help of the graph. It is a very well-known fact that a polynomial function represents a complex graph. The solution of the polynomial P(x) will be a point where it meets the x-axis. Mathematicians call it a ‘zero’ of the polynomial. However, our experts define it as the number(s) which when placed into any function results in a zero value. Sometimes people also call it the ‘root of the polynomial.’ In order to find zeros of a polynomial, the best way is to equate the polynomial to zero and then working out the value of the variable. For instance, if P(x) is the polynomial, then put P(x) = 0 and then solve for ‘x.’

In Exercise 2.l Class 10, there are six problems that require students to tell the number of zeros of the given graphs. Many students might not get it as graphs usually require top-notch mental and visualizing abilities. Guessing the number of zeros for each graph requires a deep understanding of a polynomial function and it is not everyone's cup of tea. The graphs shown in the exercise have a polynomial equation with up to the maximum variable. What every student requires in solving the exercise is the basic understanding of zeroes of a function and their characteristics. Our experts providing NCERT Solutions for Class 10 Maths Chapter 2 Exercise 2.1 recommend students to take their help in understanding this chapter. With their short tricks and tips, one can easily ace this chapter in no time.

Coming on to the concept used in the exercise, students are required to determine the total number of zeroes of a given curve. So to do that, students should look at the number of points where the curve intersects the X-axis. Our experts say that the majority of students commit a very common mistake by counting the points where the curve intersects the Y-axis. This will increase the number of zeroes and ultimately, you might end up losing marks in this high-scoring chapter. Therefore, it is advised to take our top-class Solutions for Class 10 Maths Chapter 2 Exercise 2.1 and strengthen your basics of the polynomial without any further ado.

If concepts of mathematics intrigue you, then you can take assistance from our best-selling NCERT Solutions for Class 10 Maths Chapter 2 Exercise 2.1. Thousands of students across India have taken them to score well. You can be one of them just by registering with us.

Chapter-wise NCERT Solutions for Class 10 Maths

• Chapter 1 - Real Numbers

• Chapter 2 - Polynomials

• Chapter 3 - Pair of Linear Equations in Two Variables

• Chapter 4 - Quadratic Equations

• Chapter 5 - Arithmetic Progressions

• Chapter 6 - Triangles

• Chapter 7 - Coordinate Geometry

• Chapter 8 - Introduction to Trigonometry

• Chapter 9 - Some Applications of Trigonometry

• Chapter 10 - Circles

• Chapter 11 - Constructions

• Chapter 12 - Areas Related to Circles

• Chapter 13 - Surface Areas and Volumes

• Chapter 14 - Statistics

• Chapter 15 - Probability

NCERT Solutions for Class 10 Maths Chapter 2 Exercises

Why Choose Vedantu?

In the present education sector, Vedantu is the only online learning platform in the country that fulfils the wide range of needs of students. Irrespective of your board curriculum, our experts are always determined to help you with their well-explained solutions. Due to their good command over the subjects, such as Physics, Chemistry, Maths, etc., their solutions are always high in demand. Not only do we provide assistance to pass the school exams but we also help students in preparing for various competitive exams, such as NTSE, IIT-JEE, NEET, KVPY, etc. With our best faculty base across the country, Vedantu guarantees the best learning experience to fulfil all the academic needs of students in a personalized way. We allow each and every student to study as per their comfort and pace, thereby giving them more time to understand concepts and remember them for a longer duration. With our supplemental learning material, they can not only pass every exam with good grades but also strengthen their basics that will surely help them in the future.

Apart from our highly rated NCERT Solutions for Class 10 Maths Chapter 2 Exercise 2.1, we also provide material books. Just by studying from our notes, you will be able to see an added advantage you gain in studies. Our solutions also cover those questions that frequently asked in the exams. So, hurry up! It’s time to register with us and give yourself a head start in academics.